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On two numerical methods for homogenization of Maxwell's equations
Lund University, Department of Electrical and Information Technology.
Lund University, Department of Electrical and Information Technology.
2007 (English)In: Journal of Electromagnetic Waves and Applications, ISSN 0920-5071, Vol. 21, no 13, 1845-1856 p.Article in journal (Refereed) Published
Abstract [en]

When the wavelength is much larger than the typical scale of the microstructure in a material, it is possible to define effective or homogenized material coefficients. The classical way of determination of the homogenized coefficients consists of solving an elliptic problem in a unit cell. This method and the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically compared with respect to accuracy and contrast sensitivity. Moreover, we provide numerical bounds on the effective permittivity. The Floquet-Bloch method is shown to be a good alternative to the classical homogenization method, when the contrast is modest.

Place, publisher, year, edition, pages
2007. Vol. 21, no 13, 1845-1856 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-51748DOI: 10.1163/156939307781891076OAI: oai:DiVA.org:umu-51748DiVA: diva2:488111
Available from: 2012-02-01 Created: 2012-02-01 Last updated: 2012-02-24Bibliographically approved

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Engström, Christian

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